Integral of x^3-1 dx
The solution
Detail solution
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Integrate term-by-term:
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The integral of xn is n+1xn+1 when n=−1:
∫x3dx=4x4
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The integral of a constant is the constant times the variable of integration:
∫(−1)dx=−x
The result is: 4x4−x
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Add the constant of integration:
4x4−x+constant
The answer is:
4x4−x+constant
The answer (Indefinite)
[src]
/
| 4
| / 3 \ x
| \x - 1/ dx = C - x + --
| 4
/
∫(x3−1)dx=C+4x4−x
The graph
Use the examples entering the upper and lower limits of integration.